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Open AccessArticle

Dimension and Dimensional Reduction in Quantum Gravity

Department of Physics, University of California at Davis, Davis, CA 95616, USA
Universe 2019, 5(3), 83; https://doi.org/10.3390/universe5030083
Received: 15 February 2019 / Revised: 15 March 2019 / Accepted: 15 March 2019 / Published: 19 March 2019
If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet fixed point in a way that makes the theory effectively two-dimensional. A number of independent lines of evidence, based on different approaches to quantization, indicate a similar short-distance dimensional reduction. I will review the evidence for this behavior, emphasizing the physical question of what one means by “dimension” in a quantum spacetime, and will discuss possible mechanisms that could explain the universality of this phenomenon. View Full-Text
Keywords: quantum gravity; spacetime dimension; asymptotic safety; dimensional reduction quantum gravity; spacetime dimension; asymptotic safety; dimensional reduction
MDPI and ACS Style

Carlip, S. Dimension and Dimensional Reduction in Quantum Gravity. Universe 2019, 5, 83.

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